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Finding the Third Proportional to 202,091,243,742 and 434,833,356,330

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Solution

The third proportional to 202,091,243,742 and 434,833,356,330 is: 935,617,220,598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,091,243,742 : 434,833,356,330 = 434,833,356,330 : x
  2. Step 2: Convert to fraction form
    202,091,243,742/434,833,356,330 = 434,833,356,330/x
  3. Step 3: Cross multiply
    202,091,243,742x = 434,833,356,330 × 434,833,356,330
  4. Step 4: Simplify right side
    202,091,243,742x = 189,080,047,777,212,755,083,264
  5. Step 5: Solve for x
    x = 189,080,047,777,212,755,083,264/202,091,243,742
  6. Step 6: Final answer
    x = 935,617,220,598.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.